The explicit inverses of two commonly occurring matrices
Donald Kershaw · Mathematics of Computation · 1969
Explicit formulae are given for the inverses of certain tridiagonal scalar and block matrices. During an investigation into the convergence properties of natural splines it was found convenient to have the explicit forms for the inverses of certain tridiagonal matrices. Special forms of these matrices arise in other branches of numerical analysis and so it may be useful to record them. The derivation is elementary but complicated and will only be indicated.